Reduction mod p proofs of some theorems in linear algebraic groups

Abstract: Many algebraic geometry statements involve only finitely many data, and hence their proofs can be reduced to problems over finite fields. I will show how to use this well-known technique to get new proofs of some fundamental results in linear algebraic groups, including: structure of unipotent groups, Jordan decomposition, and the connectedness of the normalizer of a Borel subgroup. This is a joint work with Xiaopeng Xia.

Mathematics

Audience: researchers in the topic

ICCM 2020